Examples on Vector Triple Product
Example 1: Given three vectors , , and , calculate the vector triple product
Solution:
Find
Multiply by
Therefore,
Example 2: Verify whether the equation holds true, where , , , and .
Solution:
Calculate :
Multiply by
Compare with
and
Since and are not equal, the equation does not hold true.
Vector Triple Product
Vector Triple Product involves the multiplication of three vectors so that the output is also a vector. Vector Triple Product involves three vectors— , , and , by taking the cross product of with the cross product of and the result, denoted as , emerges as a new vector.
This article covers the definition, formula, proof, and properties of the Vector Triple Product, offering a comprehensive exploration of its fundamental aspects. Additionally, we will address common questions and provide solved examples to enhance your understanding of this mathematical concept.
Table of Content
- Vector Triple Product Definition
- Vector Triple Product Formula
- Vector Triple Product Proof
- Properties of Vector Triple Product
- Examples on Vector Triple Product